Application of light-cone sum rules (LCSRs) to D(s)->Pl+l- decays
by
P2-04-410
TU Dortmund
$D^+\to \pi^+\ell^+\ell^-$ decays are of much interest from the point of view of GIM cancellation and potential new sources of the FCNC $c\to u$ transitions. The hadronic amplitude of this decay is dominated by the combination of weak annihilation with the emission of a virtual photon which are purely long-distance effects.
In this talk, I will discuss a new method to analyse these decays, combining QCD light-cone sum rules (LCSRs) with hadronic dispersion relations. This method allows us to determine relative strong phases of the ρ-,ω- and ϕ-meson resonances and to estimate of the contributions of heavier hadronic states. The final results for $D^+\to \pi^+\ell^+\ell^-$ width are obtained to be not much smaller than the current upper bound measured by LHCb collaboration. In the later part of my talk, I will discuss the relations of these decays to other Cabibbo favoured and Cabbbo suppressed modes using U-spin symmetry. Finally, I present results for Cabibbo-favoured modes, $D_s^+\to \pi^+\ell^+\ell^-$ and $D^0\to \bar{K}^0\ell^+\ell^-$, which proceed via the same weak annihilation mechanism as a byproduct of our analysis.
The seminar will take place in P2-04-410
Maik Becker & Serena Maccolini